Jiafeng Chen, Jiaying Gu, Soonwoo Kwon
arXiv 24 Mar 2025 · Econometrics
arXiv:2503.19095 · PDF · Extracted main text
In the value-added literature, it is often claimed that regressing on empirical Bayes shrinkage estimates corrects for the measurement error problem in linear regression. We clarify the conditions needed; we argue that these conditions are stronger than the those needed for classical measurement error correction, which we advocate for instead. Moreover, we show that the classical estimator cannot be improved without stronger assumptions. We extend these results to regressions on nonlinear transformations of the latent attribute and find generically slow minimax estimation rates.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Chen, J (2025) Empirical bayes when estimation precision predicts parameters self | 1.000 | 6 | 3 | 100% |
| 2 | Gilraine, M., Gu, J. and McMillan, R (2020) A new method for estimating teacher value-added self | 0.928 | 4 | 3 | 100% |
| 3 | Feng, J. and Jaravel, X (2020) Crafting intellectual property rights: Implications for patent assertion entities, litigation, and innovation | 0.874 | 5 | 2 | 100% |
| 4 | Bau, N. and Das, J (2020) Teacher value added in a low-income country | 0.851 | 13 | 4 | 62% |
| 5 | –-, –- and Rockoff, J. E (2014) a) | 0.811 | 4 | 2 | 100% |
| 6 | Angrist, J., Hull, P. and Walters, C (2023) Methods for measuring school effectiveness | 0.737 | 3 | 2 | 100% |
| 7 | Cai, T. T. and Low, M. G (2011) Testing composite hypotheses, hermite polynomials and optimal estimation of a nonsmooth functional | 0.737 | 3 | 2 | 100% |
| 8 | Chandra, A., Finkelstein, A., Sacarny, A. and Syverson, C (2016) Health care exceptionalism? performance and allocation in the us health care sector | 0.737 | 3 | 2 | 100% |
| 9 | Fuller, W. A (1987) Measurement error models | 0.737 | 3 | 2 | 100% |
| 10 | –- and –- (2005) b) | 0.693 | 5 | 1 | 100% |
Showing the top 10 of 44 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Automatic Inference for Value-Added Regressions | 0.405 | 1 | 1 |